Question

Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session.

The readout indicated which of the following when she had completed 40% of her exercise session?

A. 10 min 48 sec
B. 14 min 52 sec
C. 14 min 58 sec
D. 16 min 6 sec
E. 16 min 12 sec

Answer 1

The correct option is E. 16 min 12 sec.

Explanation:

Consider the provided information.

When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session.

That means 24 min 18 sec is 90% of her exercise time.

First convert the 24 min 18 sec into seconds:

24 min 18 sec = 1440+18 = 1458 seconds

Let x represents the 100%.

`(1458)/(x)=(90\%)/(100\%)`

`x=(1458)/(0.9)`

`x=1620`

That means the total time of workout was 1620 seconds or 27 minutes.

Now she had completed 40% of her exercise session, that means the readout will indicate 60% of the time.

Calculate the 60% of 1620 as shown:

`1620* (60)/(100)=972`

Now convert 972 seconds into minutes as shown:

972 seconds = 960 seconds + 12 seconds = 16 min 12 seconds

Hence, the correct option is E. 16 min 12 sec.